Special Products

Section 6.4

Find the product.

(x + 2)(x + 2) (x + 3)(x + 3)

Find the product.

(x -2)2 (x - 3)2

Find the product.

(x - 4)2 (x - 5)2

Find the product.

(2x + 1)(2x + 1) (2x + 3)(2x + 3)

Can you find the pattern? (x + 2)(x + 2) = x2 + 4x + 4 (x + 3)(x + 3) = x2 + 6x + 9 (x - 2)2 = (x - 2)(x - 2) = x2 - 4x + 4 (x - 3)2 = (x - 3)(x - 3) = x2 - 6x + 9 (x - 4)2 = (x - 4)(x - 4) = x2 - 8x + 16 (x - 5)2 = (x - 5)(x - 5) = x2 - 10x + 25 (2x + 1)(2x + 1) = 4x2 + 4x + 1 (2x + 3)(2x + 3) = 4x2 + 12x + 9

(a + b)(a + b) = a2 + 2ab + b2

(a - b)(a - b) = a2 - 2ab + b2

Find the product.

(x - 2)(x + 2) (x + 3)(x - 3)

Find the product.

(2x - 1)(2x + 1) (2x + 3)(2x - 3)

Can you find the pattern?

(x - 2)(x + 2) = x2 - 4 (x + 3)(x - 3) = x2 - 9 (x - 4)(x + 4) = x2 - 16 (x + 5)(x - 5) = x2 - 25 (2x - 1)(2x + 1) = 4x2 - 1 (2x + 3)(2x - 3) = 4x2 - 9

(a - b)(a + b) = a2 - b2

Find the product.

(3 7)(3 7)

Find the product.

(3 7)(3 7)

Find the product.

(2 3)(2 3)

Homework